Professor Marcus du Sautoy argues that mathematics is the driving force behind modern science. Ten fifteen minute podcasts that reveal the personalities behind the calculations from Newton to the present day. How do these masters of abstraction find a role in the real world?

01 Newton and LeibnizThe battle over the calculus. Professor Marcus du Sautoy reveals how the great hero of British science is rather less gentlemanly than his German rival. An astronaut and investment analyst pay homage to the enormous power of the calculus.

02 Leonard EulerThe man who calculated as other men breathe. Professor Marcus du Sautoy on the mathematical omnivore without whom no history of mathematics is complete.

03 Joseph FourierProfessor Marcus du Sautoy describes the life and mathematics of this Napoleonic soldier, with contributions from musician Brian Eno who loves Fourier's analysis and uses it to create sounds that have never been heard before.

04 Evariste GaloisProfessor Marcus du Sautoy on his favourite mathematician, an angry, young genius who did his best maths in prison and died in a duel, aged 20.

05 Carl Friedrich GaussThe 19th century mathematical celebrity. Professor Marcus du Sautoy describes how a study of asteroids led Gauss to describe the normal distribution. With contributions from Chairman for the Commission for Racial Equality Trevor Phillips, who believes statistics are the most powerful weapon we have for fighting prejudice.

06 The Mathematicians who helped EinsteinSeeing in four dimensions. Professor Marcus du Sautoy on the pioneers who pushed mathematics into new dimensions and the strange new geometries they created. Emeritus Professor Roger Penrose confirms that even Einstein sometimes struggled with his maths.

07 Georg CantorInfinity. Professor Marcus du Sautoy describes the troubled life of this radical mathematician who shocked his colleagues by proving there's more than one infinity. With contributions from Emeritus Professor of Mathematics Roger Penrose.

08 Henri PoincareAn embarassing error and the mathematics of chaos. Professor Marcus du Sautoy describes how a mistake in Poincare's working led him to an astonishing conclusion: some mathematical problems don't have a reliable solution.

09 Hardy and RamanujanA mathematical romance. Professor Marcus du Sautoy describes how a passion for prime numbers united a Cambridge professor and an unknown Indian clerk.

10 Nicolas BourbakiThe mathematician that never was. Professor Marcus du Sautoy describes the life and mathematics of an elusive hero. The collected works of Bourbaki represents one of the most ambitious enterprises in mathematical history: an attempt to unify shapes and numbers into single discipline.